A systematic connection between QCD and nuclear few- and many-body properties in
the form of the Eﬀective Field Theory “without pions” is applied to
A ≤ 6 nuclei to determine its range of applicability. We
present results at next-to-leading order for the Tjon correlation and for a
correlation between the singlet S-wave 3 He-neutron scattering length and the
triton binding energy. In the A = 6 sector we performed leading
order calculations for the binding energy and the charge and matter radii of the
halo nucleus 6He. Also at leading order, the doublet S-wave
4-He-neutron phase shifts are compared with R-matrix data. These analysis
provide evidence for a suﬃciently fast convergence of the eﬀective ﬁeld theory,
in particular, our results in A ≤ 4 predict 1 an expansion
parameter of about , and they converge to data within the predicted
uncertainty band at this order. A properly adjusted three-body contact force
which we include together with the Coulomb interaction in all calculations is
found to correctly renormalize the pion-less theory at leading- and
next-to-leading order, i.e., the power counting does not
require four-body forces at the respective order.

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